Finding the Third Proportional to 89,427 and 189,513

Step by Step Solution

1. Step 1: Write the proportion equation
   89,427 : 189,513 = 189,513 : x
2. Step 2: Convert to fraction form
   89,427/189,513 = 189,513/x
3. Step 3: Cross multiply
   89,427x = 189,513 × 189,513
4. Step 4: Simplify right side
   89,427x = 35,915,177,169
5. Step 5: Solve for x
   x = 35,915,177,169/89,427
6. Step 6: Final answer
   x = 401,614.47